14464960 has 56 divisors (see below), whose sum is σ = 36484560. Its totient is φ = 5443584.

The previous prime is 14464897. The next prime is 14464963. The reversal of 14464960 is 6946441.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14464963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4111 + ... + 6769.

It is an arithmetic number, because the mean of its divisors is an integer number (651510).

Almost surely, 2^14464960 is an apocalyptic number.

14464960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18242280).

14464960 is an abundant number, since it is smaller than the sum of its proper divisors (22019600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14464960 is a wasteful number, since it uses less digits than its factorization.

14464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 14464960 is about 3803.2827925359. The cubic root of 14464960 is about 243.6533642794.

The spelling of 14464960 in words is "fourteen million, four hundred sixty-four thousand, nine hundred sixty".